%0 Journal Article
%T A Canonical Laplacian on the Algebra of Densities on a Projectively Connected Manifold
%A Jacob George
%J Mathematics
%D 2009
%I arXiv
%X On a manifold with a projective connection we canonically assign a second order differential operator acting on the algebra of all densities to any tensor density $S^{ij}$ of fixed weight $\lambda$. In particular, this implies that on any projectively connected manifold, a `bracket' (symmetric biderivation) on the algebra of functions extends canonically to the algebra of densities.
%U http://arxiv.org/abs/0909.5411v1